Platonic Solids (Part 2)

Platonic Solids (Part 2) is a Grade 6 geometry investigation focused on faces, vertices, edges, and Euler’s formula. After building Platonic solids in Part I, students count each feature, organize the results in a chart, and look for the relationship Faces + Vertices − Edges = 2. A soccer ball provides an extension beyond the five Platonic solids to a more complex convex polyhedron.

Use it as a whole-class follow-up when students have physical models available to examine. The chart makes the structural relationship easier to notice, while testing Euler’s formula on another object helps students see that the pattern extends beyond the original set. Create a free Find a Math Game account to generate lesson support for Platonic Solids (Part 2). No credit card, with 3 lifetime lesson generations.